ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION

doi:10.3934/dcds.2020086

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	ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION
	Qin, Yizhao 1; Guo, Yuxia 1; Yao, Peng-Fei 2,3
	2020-03-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	40 期号:3 页码:1555-1593
摘要	We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions. The motion of the fluid is governed by incompressible Navier-Stokes equations while the displacement of elastic structure is determined by a nonlinear elastodynamic system with boundary dissipation. The boundary dissipation is inserted in the velocity matching condition. We prove the global existence of the smooth solutions for small initial data and obtain the exponential decay of the energy of this system as well.
关键词	Fluid-structure interaction nonlinear elastodynamic systems boundary dissipation Navier-Stokes equations energy decay global well-posedness
DOI	10.3934/dcds.2020086
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China[11771235] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000502707900010
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50464
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, Peng-Fei
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Qin, Yizhao,Guo, Yuxia,Yao, Peng-Fei. ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2020,40(3):1555-1593.
APA	Qin, Yizhao,Guo, Yuxia,&Yao, Peng-Fei.(2020).ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,40(3),1555-1593.
MLA	Qin, Yizhao,et al."ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 40.3(2020):1555-1593.